What is ((x^3y^n)/(z^{m+1)})^k ?

The solution to ((x^3y^n)/(z^{m+1)})^k is (x^{3k}y^{nk})/(z^{(m+1)k)}

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simplify ((x^3y^n)/(z^{m+1)})^k

simplify

(\frac{x ^{3} y ^{n}}{z ^{m + 1}})^{k}

\frac{x ^{3 k} y ^{nk}}{z ^{(m + 1) k}}

Solution steps

(\frac{x ^{3} y ^{n}}{z ^{m + 1}})^{k}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x ^{3} y ^{n} ) ^{k}}{( z ^{m + 1} ) ^{k}}

Simplify

(x^{3} y^{n})^{k} : x^{3 k} y^{nk}

= \frac{x ^{3 k} y ^{nk}}{( z ^{m + 1} ) ^{k}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(z^{m + 1})^{k} = z^{(m + 1) k}

= \frac{x ^{3 k} y ^{nk}}{z ^{(m + 1) k}}

\frac{2 x + 8}{2}

- \frac{5}{5}

\frac{2}{5} x^{90}

(- 5 k^{2}) (- 7 k)

16.6 + 2.1788 \frac{7.567}{5}

What is ((x^3y^n)/(z^{m+1)})^k ?
The solution to ((x^3y^n)/(z^{m+1)})^k is (x^{3k}y^{nk})/(z^{(m+1)k)}